30 citations · 31 across the 4 of their papers we have counts for
6 papers
On differentiability in weakly o-minimal expansions of fields
Juan Pablo Acosta, Yatir Halevi, Assaf Hasson +2
We show that every definable function in a weakly o-minimal expansion of a field is generically differentiable, where the derivative takes values in the Cauchy completion of $K…
One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields
Juan Pablo Acosta, Martin Hils
We give a complete list of the one-dimensional groups definable in algebraically closed valued fields and i the pseudo-local fields, up to a finite index subgroup and a quotient by…
Groups definable in Presburger arithmetic
Juan Pablo Acosta López
We determine all groups definable in Presburger arithmetic, up to a finite index subgroup.
Universal property of skew extensions
Juan Pablo Acosta López, Oswaldo Lezama
In this paper we prove the universal property of skew extensions generalizing this way the well known universal property of skew polynomial rings. For this, we will show firs…
Prime ideals of skew PBW extensions
Oswaldo Lezama, Juan Pablo Acosta, Milton Armando Reyes Villamil
In this paper we describe the prime ideals of some important classes of skew PBW extensions, using the classical technique of extending and contracting ideals. Skew PBW extensions…
Ore and Goldie theorems for skew PBW extensions
Oswaldo Lezama, Juan Pablo Acosta, Cristian Chaparro +2
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimens…